Discussion of Application for Pre-resolving Algorithm in Mode Conversion;

The thesis considers smoothing method for nonlinear complementarity problems (NCP(F)) in R~n, and resolvent operator method for generalized mixed vari-ational inequality problems(GMVI) in Hilbert space, respectively.

Range structure for the resolvent operator of the generator of a generalized infinite particle system with zero range interactions;

A new iterative algorithms to approximate the solution of the class of nonlinear implicit quasi variational inclusions in Banach space is constructed using resolvent operator.

This paper studies the locally bounded property of a generalized infinite particle system with zero range interactions and the dissipation of the resolvent operator of the system generator.

In an ordered Banach space,a generation theorem,about increasing integrated semigroups of strong-contractions,is obtained in terms of resolvent positive operators and dissipative operators.

In this paper, the authors study the existence of solution for a system of generalized nonlinear variational inequalities with implicit resolvent operator technique.

A new class of completely generalized mixed strongly nonlinear variational inclusions are introduced and studied in Hilbert space, implicit resolvent operator technique is used to study solution analysis of these variational inclusions.

In this paper,the authors introduce and study a class of new generalized nonlinear implicit quasivariational inclusions in Hilbert spaces,and use the implicit resolvent operator technique to study the sensitivity analysis for them.